MAZUREK, Jiří. Some Notes on the Properties of Inconsistency Indices in Pairwise Comparisons. Operations Research and Decisions. 2018, vol. 2018, No 1, p. 27-42. ISSN 2081-8858.
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Basic information
Original name Some Notes on the Properties of Inconsistency Indices in Pairwise Comparisons
Authors MAZUREK, Jiří (203 Czech Republic, guarantor, belonging to the institution).
Edition Operations Research and Decisions, 2018, 2081-8858.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10103 Statistics and probability
Country of publisher Poland
Confidentiality degree is not subject to a state or trade secret
RIV identification code RIV/47813059:19520/18:00011089
Organization unit School of Business Administration in Karvina
Keywords in English pairwise comparisons; AHP; inconsistency; inconsistency index; axioms of inconsistency
Links GA18-01246S, research and development project.
Changed by Changed by: RNDr. Daniel Jakubík, učo 139797. Changed: 7/2/2020 10:56.
Abstract
Pairwise comparisons are an important tool of modern (multiple criteria) decision making. Since human judgments are often inconsistent, many studies have focused on the means of expressing and measuring this inconsistency, and several inconsistency indices were proposed as an alternative to Saaty's inconsistency index, C. I., and consistency ratio, C. R., for reciprocal pairwise comparison matrices. The aims of this paper are threefold: firstly, a row inconsistency index (RIC) is proposed and the properties of this index are examined. Secondly, a comparison of selected inconsistency indices for a corner pairwise comparison matrix is provided. Last, but not least, another axiom about the upper bound on the value of an inconsistency index is postulated, and a set of selected inconsistency indices is examined with respect to this axiom. Numerical examples complete the paper.
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